A note on travelling waves in competitive reaction systems

Larry K. Forbes

doi:10.21914/anziamj.v55i0.6822

Authors

Larry K. Forbes School of Mathematics and Physics University of Tasmania

DOI:

https://doi.org/10.21914/anziamj.v55i0.6822

Keywords:

combustion model, competing reactions, travelling wave, asymptotic analysis, phase plane

Abstract

This note considers an established reaction-diffusion model for a combustion system, in which there are competing endothermic and exothermic reaction pathways. A combustion front is assumed to move at constant speed through the medium. An asymptotic theory is presented, that allows a simple and complete analysis of the approximate system in the phase plane. Both the adiabatic and non-adiabatic cases are discussed. doi:10.1017/S1446181113000333

Author Biography

Larry K. Forbes, School of Mathematics and Physics University of Tasmania

School of Mathematics and Physics Professor of Mathematics